can you help me with this question? thanks

2. Consider a simple pendulum of length L. The angle the pendulum creates (measured from the vertical) at a time t can be described by the following second order DE, d20 2 . 9 +w s1n00, Wherew E The DE is independent of the mass connected to the pendulum and here 9 is the acceleration due to gravity (a known, constant value). (a) Use the method of reduction of order to solve this DE. You will not be able to solve for 0 directly, but will be able to represent t as an appropriate integral. (b) Using the linearization sin(0) % 0, solve the original DE subject to the initial conditions 0(0) = 00, 0'(0) = 0 and determine the period of the pendulum